GCD of 475, 320, 72, 453 Calculator

Given Input numbers are 475, 320, 72, 453

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 475, 320, 72, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 320, 72, 453 is 1.

Therefore, GCD of numbers 475, 320, 72, 453 is 1

Given Input Data is 475, 320, 72, 453

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 453 is 3 x 151

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(475, 320) = 30400

GCD(475, 320) = ( 475 x 320 ) / 30400

GCD(475, 320) = 152000 / 30400

GCD(475, 320) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 72

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 72) = 360

GCD(5, 72) = ( 5 x 72 ) / 360

GCD(5, 72) = 360 / 360

GCD(5, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 453

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 453) = 453

GCD(1, 453) = ( 1 x 453 ) / 453

GCD(1, 453) = 453 / 453

GCD(1, 453) = 1

GCD of 475, 320, 72, 453 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 629, 83, 828
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• GCD of 189, 501, 13, 614

1. What is the GCD of 475, 320, 72, 453?

GCD of 475, 320, 72, 453 is 1

2. Where do I get the detailed procedure to find GCD of 475, 320, 72, 453?

You can find a detailed procedure to find GCD of 475, 320, 72, 453 on our page.

3. How to find GCD of 475, 320, 72, 453 on a calculator?

You can find the GCD of 475, 320, 72, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.